An importer of electronic goods is considering packaging a new, easy-to-read instruction booklet with DVD players. It wants to package this booklet only if it helps customers more than the current booklet. Previous tests found that only 30% of customers were able to program their DVD player. An experiment with the new booklet found that 16 out of 60 customers were able to program their DVD player. a. State the null and the alternative hypot

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

14 °F

Step-by-step explanation:

To answer this problem, we will use the known celsius to fahrenheit conversion formula.

[Celsius * (9/5)] + 32 = Fahrenheit

Now we just plug in the value of celsius:

[-10 * (9/5)] + 32 = Fahrenheit

[ -2 * 9 ] + 32 = Fahrenheit

[ -18 ] + 32 = Fahrenheit

14 = Fahrenheit

So you should right 14(°F) on the label.

Cheers.

Answer:

5.52

Step-by-step explanation:

Answer

d 30

Step-by-step explanation:

Answer:

D. 30

Step-by-step explanation:

It is right on Edge

Value of R = 1.72×10¹¹ meter

The correct option is B.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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The situation that can be modelled with the inequality is if Trevor and Brain works x hour, Trevor's earnings is at least $30 more than Brian. (second option)

The first step is to determine inequality signs and what they mean.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The given inequality is:

$12x - $30 ≥ $10

If the inequality is rearranged, it becomes:

$12x ≥ $10x + $30

This can be interpreted as if both of them work x hours, Trevor's income is at least $30 more than Brian's.

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9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Answer:

2,400

Step-by-step explanation:

120÷0.05=2400

hope this helps

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Step-by-step explanation:

5 cos (307)  = 3

5 sin (307) = -4  

just plot the point   ( 3, -4 )     Done.

Answer:

The point is (3, -4) because 5 cos [307] = 3 and 5 sin [307] = -4

Answer:

Correct answers is B -52

Step-by-step explanation:

Answer: -52

Step 1: Simplify both sides of the equation.

13x+−23=−18

Step 2: Add 2/3 to both sides.

13x+−23+23=−18+23 13x=−52 3

Step 3: Multiply both sides by 3.

3*(13x)=3*(−52 3)

Answer:

Step-by-step explanation:

10/3

18/5

6/4  or 3/2 or 1 1/2

18/20 or 9/10

9/16

The value of a quantity after reducing it to some percentage can be found by taking the difference of the old value and the percent of the old value. The original price is $226.27.

A percentage is a value that indicates 100th part of any quantity.

To convert percentage into a fraction it is divided by 100.

Given that,

The percentage of decrease in price = 81%

The new price is $24.89.

Since the new price is obtained by substracting the decrease percentage from the original price. The expression for the original price is given as,

Suppose the original price be P.

P - 81% of P = 24.89

=> P - (89 / 100) × P = 24.89

=> (11 / 100) × P  = 24.89

=> P = 226.27

Hence, the original price is given as $ 226.27.

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Answer:

The length is one

Step-by-step explanation:

The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1

Note that if the right side is the mirror reflection of the left side, the function is even.

If the right side is the upside-down version of the left side, the function is odd.

From the problem, if the graph is cut by the y-axis, the right side will be the upside-down version of the left side.

The answer is B. odd

If Cole brought 21 cans and his sister brought 7 cans less, then the total number of cans brought by them is 35 cans.

The number of cans which Cole brought = 21 cans of food.

His sister brought in 7 fewer cans than he did, which means she brought in:

⇒ 21 - 7 = 14 cans of food,

Let the total number of food-cans be = "f",

So, the equation to find the number of cans is written as :

⇒ x = 21 + 14,

On adding the number of cans,

We get,

⇒x =  21 + 14 = 35,

Therefore, together they brought in 35 cans of food.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

First answer is infinitely many.  It doesn't matter what x is.

Second answer is x = -5.

Step-by-step explanation:

8 + x = 3

x = - 5

Tables 3 6 9 12 15

People 13 26 39 52 65

1) Let's fill in the table, considering a proportional rate for that:

2)

Tables 3 6 9 12 15

People 13 26 39 52 65

Note that when we add 3 tables we add 13 to the capacity of people. There is why we can fill in that table with multiples of 13 on the row "People"

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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Answer:

19 is suitable no in which 1 is square of itself and 9 is of 3

Based on the start-up expenses to the sole proprietorship, the amortization amount reported as an "other expense" on Schedule C (Form 1040) for the first year of business will be $111.

Before the amortization amount can be calculated, a deduction of $5,000 should be made because the start-up costs were less than $50,000.

The amount to be amortized is therefore:

= 7,500 - 5,000

= $2,500

The amount to be amortized will be amortized over 15 years. As the business started on May 1, 2021, there are only 8 months left in the year.

The amortization amount is:

= (2,500 x 8 months) / ( 15 x 12 months a year)

= $111

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Answer:

a. probability of 5/9
b. probability of 3/9

Step-by-step explanation:

All possible outcomes:

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9

All outcomes with an even number:

1 x 2 = 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 2 = 6

All outcomes with a number greater than 5

2 x 3 = 6
3 x 2 = 6
3 x 3 = 9

Answer:

0.0004

Step-by-step explanation:

A fair die has 6 faces.

The probability of obtaining a 2  \(=\dfrac{1}{6}\)

The probability of a number other than 2 \(=\dfrac{5}{6}\)

The experiment consists of tossing a fair die until 2 occurs 7 times.

Therefore, the probability that the process ends after exactly ten tosses with 2 occurring on the ninth and tenth tosses

\(=^{10}C_4 \times \left(\dfrac{5}{6}\right)^3 \times \left(\dfrac{1}{6}\right)^7\\\\=0.00043412701 \\ \approx 0.0004 $(correct to 4 decimal places)\)

Answer:

6.4675

Step-by-step explanation:

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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Answer:

The area of the figure is 962.48 and 2 inches

Step-by-step explanation:

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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